3429207683344 has 15 divisors (see below), whose sum is σ = 6644104238053. Its totient is φ = 1714600138048.

The previous prime is 3429207683327. The next prime is 3429207683351. The reversal of 3429207683344 is 4433867029243.

It is a happy number.

The square root of 3429207683344 is 1851812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3293571632400 + 135636050944 = 1814820^2 + 368288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7175772 + ... + 7638724.

Almost surely, 2^{3429207683344} is an apocalyptic number.

3429207683344 is the 1851812-nd square number.

It is an amenable number.

3429207683344 is a deficient number, since it is larger than the sum of its proper divisors (3214896554709).

3429207683344 is an frugal number, since it uses more digits than its factorization.

3429207683344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925914 (or 462955 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 55.

The spelling of 3429207683344 in words is "three trillion, four hundred twenty-nine billion, two hundred seven million, six hundred eighty-three thousand, three hundred forty-four".